Elyssa is a distinctive girls' name in United States, ranking #921 in 2003 with 257 recorded births. The name reached its all-time peak in 2004 with 273 births ranking #891. Since 1996, the popularity has increased by 10.8%. In 2003, approximately 1 in every 7,109 girls born was named Elyssa. FALLING Recent data shows the name is currently falling.